Weighted Supermembrane Toy Model

Details Weighted Supermembrane Toy Model Weighted Supermembrane Toy Model

2009-04-29

arxiv.org/abs/0904.4517v3

Physics

Mathematical Physics

18 pages, 2 figures; to appear in Lett. Math. Phys.

Scientific paper

A weighted Hilbert space approach to the study of zero-energy states of supersymmetric matrix models is introduced. Applied to a related but technically simpler model, it is shown that the spectrum of the corresponding weighted Hamiltonian simplifies to become purely discrete for sufficient weights. This follows from a bound for the number of negative eigenvalues of an associated matrix-valued Schr\"odinger operator.

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